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Related Experiment Video

Updated: May 7, 2026

Assembly and Characterization of Polyelectrolyte Complex Micelles
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Published on: March 2, 2020

Pion distribution amplitude from lattice QCD.

I C Cloët1, L Chang, C D Roberts

  • 1Physics Division, Argonne National Laboratory, Argonne, Illinois 60439, USA.

Physical Review Letters
|September 17, 2013
PubMed
Summary

Researchers developed a method to approximate the pion

Area of Science:

  • High Energy Physics
  • Quantum Chromodynamics
  • Particle Physics

Background:

  • The pion's valence-quark distribution amplitude (PDA) is crucial for understanding hadron structure.
  • Lattice quantum chromodynamics (QCD) simulations provide insights into QCD but often require approximations.
  • Dyson-Schwinger equation analyses offer theoretical predictions for hadron properties.

Purpose of the Study:

  • To develop a method for obtaining accurate pointwise approximations of the pion's valence-quark distribution amplitude (PDA) using limited moments.
  • To compare the derived PDA with theoretical predictions and assess its behavior at high energy scales.

Main Methods:

  • Utilizing a novel method to approximate the pion's PDA from a limited set of moments.
  • Connecting the method to the single nontrivial moment accessible in lattice-regularized QCD simulations.

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  • Analyzing the behavior of the PDA under leading-order evolution.
  • Main Results:

    • The method yields a broad, concave PDA that aligns with Dyson-Schwinger equation predictions.
    • The PDA remains broad even at energy scales exceeding 100 GeV.
    • This broadness indicates the persistent influence of dynamical chiral symmetry breaking.

    Conclusions:

    • The asymptotic distribution is an inadequate approximation for the pion's PDA at experimentally relevant energy scales.
    • Expectations based on the asymptotic distribution for pion form factors need revision.
    • The findings highlight the importance of non-perturbative effects in understanding pion structure.